Fixed Points of Multivalued Mappings on $S$-Metric Spaces

Year 2025, Issue: 52, 52 - 60, 30.09.2025

Hakan Karayılan

https://doi.org/10.53570/jnt.1745667

Abstract

In the present study, an extension of Bollenbacher and Hicks's fixed point theorem, which is a version of Caristi's fixed point theorem, is proved for the context of multivalued mappings in $S$-metric spaces. Several significant results are derived from this extension. Moreover, it has been shown that various fixed point theorems for single-valued mappings can be derived as special cases from the main theorem.

Keywords

$S$-metric spaces , fixed points , multivalued mappings

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